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Finding the Fourth Proportional to 2,108, 2,909.09 and 1,163.80

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Solution

The fourth proportional to 2,108, 2,909.09 and 1,163.80 is: 1,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108 : 2,909.09 = 1,163.80 : x
  2. Step 2: Convert to fraction form
    2,108/2,909.09 = 1,163.80/x
  3. Step 3: Cross multiply
    2,108x = 2,909.09 × 1,163.80
  4. Step 4: Simplify right side
    2,108x = 3,385,598.94
  5. Step 5: Solve for x
    x = 3,385,598.94/2,108
  6. Step 6: Final answer
    x = 1,606.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.